... (ii) We have to find the value of f (g (x)) Now. g (x) = 1 + x - [x] or g (x ) = 1 + (x) [Using definition of fractional part function] Since. 0 < {x} < 1 ⇒ g (x) is greater than 1 for all x ∊ R So, f(g (x)) = 1 [Using (ii)] Hence, option 'D' is correct.